Overview:
We will be learning techniques and theory of the subject known as Numerical Analysis. This will include analysis of convergence, computational techniques, problems with computer computation, and error analysis. Mathematics visited will include algebra, calculus, differential equations, and linear algebra. We will also learn about algorithm implementation using Maple as both an interactive and programming tool. Topics Include
We will be learning techniques and theory of the subject known as Numerical Analysis. This will include analysis of convergence, computational techniques, problems with computer computation, and error analysis. Mathematics visited will include algebra, calculus, differential equations, and linear algebra. We will also learn about algorithm implementation using Maple as both an interactive and programming tool. Topics Include
- Convergence
- Error analysis
- Root-finding
- Bisection
- Fixed-point iteration
- Newton's Method
- Polynomial approximation
- LaGrange Interpolation
- Divided Differences
- Splines
- Differentiation
- Finitie Differences
- Richarson Extrapolation
- Integration
- Quadrature
- Romberg Integration
- Adaptive Quadrature
- IVP’s
- Euler's Method
- Improved Euler Method
- Runge-Kutta Method
